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642030330 = 2351719591123
BaseRepresentation
bin100110010001001…
…001101011111010
31122202002112001010
4212101021223322
52303324432310
6143412534350
721624111354
oct4621115372
91582075033
10642030330
112aa455987
1215b0213b6
13a3023606
14613a80d4
153b571320
hex26449afa

642030330 has 128 divisors (see below), whose sum is σ = 1748044800. Its totient is φ = 149935104.

The previous prime is 642030329. The next prime is 642030341. The reversal of 642030330 is 33030246.

642030330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 642030297 and 642030306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571149 + ... + 572271.

It is an arithmetic number, because the mean of its divisors is an integer number (13656600).

Almost surely, 2642030330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642030330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874022400).

642030330 is an abundant number, since it is smaller than the sum of its proper divisors (1106014470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642030330 is a wasteful number, since it uses less digits than its factorization.

642030330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 642030330 is about 25338.3174263802. The cubic root of 642030330 is about 862.6842085019.

Adding to 642030330 its reverse (33030246), we get a palindrome (675060576).

The spelling of 642030330 in words is "six hundred forty-two million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 59 85 95 102 114 118 170 177 190 255 285 295 323 354 510 570 590 646 885 969 1003 1121 1123 1615 1770 1938 2006 2242 2246 3009 3230 3363 3369 4845 5015 5605 5615 6018 6726 6738 9690 10030 11210 11230 15045 16815 16845 19057 19091 21337 30090 33630 33690 38114 38182 42674 57171 57273 64011 66257 95285 95455 106685 114342 114546 128022 132514 190570 190910 198771 213370 285855 286365 320055 331285 362729 397542 571710 572730 640110 662570 725458 993855 1088187 1126369 1258883 1813645 1987710 2176374 2252738 2517766 3379107 3627290 3776649 5440935 5631845 6294415 6758214 7553298 10881870 11263690 12588830 16895535 18883245 21401011 33791070 37766490 42802022 64203033 107005055 128406066 214010110 321015165 642030330